3 papers
math.NA2023
Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction
Quirin Aumann, Steffen W. R. Werner
Interpolation-based methods are well-established and effective approaches for the efficient generation of accurate reduced-order surrogate models. Common challenges for such method…
math.NA2023
Structured interpolation for multivariate transfer functions of quadratic-bilinear systems
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
High-dimensional/high-fidelity nonlinear dynamical systems appear naturally when the goal is to accurately model real-world phenomena. Many physical properties are thereby encoded…
math.NA2023
Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems
Ion Victor Gosea, Serkan Gugercin, Steffen W. R. Werner
An essential tool in data-driven modeling of dynamical systems from frequency response measurements is the barycentric form of the underlying rational transfer function. In this wo…